Which of the arithmetic mean, median, mode, and geometric mean are resistant measures of central tendency?
A) the arithmetic mean and median only
B) the median and mode only
C) the arithmetic mean and mode only
D) the mode and geometric mean only

Question

Quizplus · Accepted Answer

A resistant measure of central tendency is one that is not affected by extreme values or outliers in a dataset. The arithmetic mean and geometric mean are not resistant measures because they can be greatly influenced by extreme values. 
The mode is not a good measure of central tendency if there are multiple modes and it does not change with extreme values. 
The median is a resistant measure because it is not influenced by extreme values, and it splits the dataset exactly in half, meaning that 50% of the values are above it and 50% below it. 
Therefore, the best choice(s) for a resistant measure of central tendency are the median and mode, which are not greatly influenced by extreme values. Thus, option B is the correct choice.

Which of the Arithmetic Mean, Median, Mode, and Geometric Mean